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We implement presheaves and sheaves over manifolds. Parts that can benefit from this implementation are:
- charts
- frames
- vector bundle sections
- tensor fields
- scalar fields
We implement mix…
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What's the plan after poly instantiation? I wish there can be:
+ Instance resolution (typeclasses with named instances)
+ Optimized reduction on naturals/booleans/whatever that can be built-in int…
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It would be useful for getting a better definition of displayed universal properties in terms of presheaves to have a displayed category of displayed functors over the category of functors. So `C^d : …
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I'm currently developing some category theory where I'm heavily using presheaves and the Yoneda lemma. In doing so I've found that the universe polymorphism in the statement in the Yoneda lemma is a b…
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The main source of semantic hyperdoctrines comes from constructing the presheaf of subobjects. Terse nlab reference: https://ncatlab.org/nlab/show/poset+of+subobjects
For any category `C` and objec…
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```
gap> LoadPackage( "Algebroids" : OnlyNeeded );
Loading AutoDoc 2022.10.20 (Generate documentation from GAP source code)
Loading Gauss 2023.02-04 (Extended Gauss functionality for GAP)
Loading …
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```
LoadPackage( "FunctorCategories" );
q := RightQuiver( "q(4)[x:1->1,a:1->2,b:2->4,c:1->3,d:3->4,y:4->4]" );
F := FreeCategory( q );
k := HomalgFieldOfRationals( );
kF := k[F];
C := kF / [ k…
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```bash
$ gap FunctorCategories/examples/PrecompileFinReflexiveQuiversAsCCC.g
```
```gap
WARNING: Could not find declaration of CAP_JIT_INCOMPLETE_LOGIC (current input: [ ])
while compiling func…
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This ticket implements:
- Support for full subcategories defined by an axiom (Finite,
Infinite, Facade, Commutative, Associative, Unital, Inverse,
Distributive, NoZeroDivisors, Division, Finite…